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受欢迎的代数 >

化简 (4x^3y^2)^{3/10}

解答

化简

(4 x^{3} y^{2})^{\frac{3}{10}}

解答

2^{\frac{3}{5}} x^{\frac{9}{10}} y^{\frac{3}{5}}

求解步骤

(4 x^{3} y^{2})^{\frac{3}{10}}

使用指数法则:

(a \cdot b)^{n} = a^{n} b^{n}

(4 x^{3} y^{2})^{\frac{3}{10}} = 4^{\frac{3}{10}} (x^{3})^{\frac{3}{10}} (y^{2})^{\frac{3}{10}}

= 4^{\frac{3}{10}} (x^{3})^{\frac{3}{10}} (y^{2})^{\frac{3}{10}}

4^{\frac{3}{10}} = 2^{\frac{3}{5}}

= 2^{\frac{3}{5}} (x^{3})^{\frac{3}{10}} (y^{2})^{\frac{3}{10}}

化简

(x^{3})^{\frac{3}{10}} : x^{\frac{9}{10}}

= 2^{\frac{3}{5}} x^{\frac{9}{10}} (y^{2})^{\frac{3}{10}}

化简

(y^{2})^{\frac{3}{10}} : y^{\frac{3}{5}}

= 2^{\frac{3}{5}} x^{\frac{9}{10}} y^{\frac{3}{5}}

流行的例子

化简 (-1-2i)(-1+2i)

s im pl i f y (- 1 - 2 i) (- 1 + 2 i)

化简 2x× 3x^2

s im pl i f y 2 x \times 3 x^{2}

因式分解 y^2-11y+24

f a c t or y^{2} - 11 y + 24

化简 (7x)/5-9/4

s im pl i f y \frac{7 x}{5} - \frac{9}{4}

\frac{165}{2}